3 papers
math.OC2024
A Framework for Approximating Perturbed Optimal Control Problems
Riley Link, Ethan Ebbighausen
We consider trajectory optimal control problems in which parameter uncertainty limits the applicability of control trajectories computed prior to travel. Hence, efficient trajector…
math.DS2023
On the Convergence of the Density of Terras' Set
Idris Assani, Ethan Ebbighausen
The Collatz Conjecture's connection to dynamical systems opens it to a variety of techniques aimed at recurrence and density results. First, we turn to density results and strength…
math.DS2022
Syracuse Maps as Non-singular Power-Bounded Transformations and Their Inverse Maps
Idris Assani, Ethan Ebbighausen, Anand Hande
We prove that the dynamical system , where is a finite measure equivalent to the counting measure, is power-bounded in if and only…